Analytic structure of many-body Coulombic wave functions

Details Analytic structure of many-body Coulombic wave functions Analytic structure of many-body Coulombic wave functions

2008-06-05

arxiv.org/abs/0806.1004v1

Physics

Mathematical Physics

23 pages

Scientific paper

We investigate the analytic structure of solutions of non-relativistic Schr"odinger equations describing Coulombic many-particle systems. We prove the following: Let psi(x) with x=(x_1,...,x_N) in R^{3N} denote an N-electron wavefunction of such a system with one nucleus fixed at the origin. Then in a neighbourhood of a coalescence point, for which x_1=0 and the other electron coordinates do not coincide, and differ from 0, psi can be represented locally as psi(x) = psi^(1)(x) + |x_1|psi^(2)(x) with psi^(1), psi^(2) real analytic. A similar representation holds near two-electron coalescence points. The Kustaanheimo-Stiefel transform and analytic hypoellipticity play an essential role in the proof.

Affiliated with

Also associated with

No associations

Rating

Analytic structure of many-body Coulombic wave functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analytic structure of many-body Coulombic wave functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytic structure of many-body Coulombic wave functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128297